What is the Least Common Multiple of 60752 and 60760?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60752 and 60760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60752 and 60760, than apply into the LCM equation.

GCF(60752,60760) = 8
LCM(60752,60760) = ( 60752 × 60760) / 8
LCM(60752,60760) = 3691291520 / 8
LCM(60752,60760) = 461411440

Least Common Multiple (LCM) of 60752 and 60760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60752 and 60760. First we will calculate the prime factors of 60752 and 60760.

Prime Factorization of 60752

Prime Factorization of 60760

Now multiplying the highest exponent prime factors to calculate the LCM of 60752 and 60760.

LCM(60752,60760) = 2⁴ × 3797¹ × 5¹ × 7² × 31¹
LCM(60752,60760) = 461411440